1142304 has 48 divisors (see below), whose sum is σ = 3058272. Its totient is φ = 373248.

The previous prime is 1142287. The next prime is 1142311. The reversal of 1142304 is 4032411.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6927 + ... + 7089.

It is an arithmetic number, because the mean of its divisors is an integer number (63714).

2^1142304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529136).

1142304 is an abundant number, since it is smaller than the sum of its proper divisors (1915968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1142304 is a wasteful number, since it uses less digits than its factorization.

1142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1142304 is about 1068.7862274562. The cubic root of 1142304 is about 104.5347213361.

Adding to 1142304 its reverse (4032411), we get a palindrome (5174715).

The spelling of 1142304 in words is "one million, one hundred forty-two thousand, three hundred four".